If gravity and acceleration are indistinguishable, then does that mean converting potential energy to kinetic energy generates gravitons... but only temporarily until you stop accelerating?
The criterion for gravitational radiation is (conjectured to be, pending direct evidence) a changing quadrupole moment in the mass distribution, so an accelerating mass distribution does not always radiate, but can do so if the acceleration changes the quadrupole moment. This is in contrast to electromagnetic radiation, which occurs when the charge distribution has a time varying dipole (or higher) moment. An accelerated charge always has a changing dipole moment, so loosely speaking accelerating (classical) charges radiate electromagnetically (in some frame? this rabbit hole is pretty deep).